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Finding the Third Proportional to 197,282 and 431,472

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Solution

The third proportional to 197,282 and 431,472 is: 943,664.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,282 : 431,472 = 431,472 : x
  2. Step 2: Convert to fraction form
    197,282/431,472 = 431,472/x
  3. Step 3: Cross multiply
    197,282x = 431,472 × 431,472
  4. Step 4: Simplify right side
    197,282x = 186,168,086,784
  5. Step 5: Solve for x
    x = 186,168,086,784/197,282
  6. Step 6: Final answer
    x = 943,664.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.